Search a number
-
+
1133682564 = 223775117971
BaseRepresentation
bin100001110010010…
…1001111110000100
32221000020001010010
41003210221332010
54310210320224
6304254430220
740044066660
oct10344517604
92830201103
101133682564
11531a30543
12277802370
13150b44bb1
14aa7c98a0
15697dae29
hex43929f84

1133682564 has 48 divisors (see below), whose sum is σ = 3027347456. Its totient is φ = 323460000.

The previous prime is 1133682559. The next prime is 1133682569. The reversal of 1133682564 is 4652863311.

It is an interprime number because it is at equal distance from previous prime (1133682559) and next prime (1133682569).

It is a super-2 number, since 2×11336825642 = 2570472311835228192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1133682569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54099 + ... + 72069.

Almost surely, 21133682564 is an apocalyptic number.

1133682564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1133682564 is an abundant number, since it is smaller than the sum of its proper divisors (1893664892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1133682564 is a wasteful number, since it uses less digits than its factorization.

1133682564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736 (or 18734 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1133682564 is about 33670.2029099915. The cubic root of 1133682564 is about 1042.7106813876.

The spelling of 1133682564 in words is "one billion, one hundred thirty-three million, six hundred eighty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 751 1502 2253 3004 4506 5257 9012 10514 15771 17971 21028 31542 35942 53913 63084 71884 107826 125797 215652 251594 377391 503188 754782 1509564 13496221 26992442 40488663 53984884 80977326 94473547 161954652 188947094 283420641 377894188 566841282 1133682564